Algebra 2 Quarter 4 ExamName/StudentNumber:____________________Answer the questions below. Make sure to show your work and justify all of your answersSimplify the trigonometric expression. Show your work.1.We bring these to a common denominator.1 sin( )+ 1+ sin ( )22==221 sin ( )1 sin ( ) cos2( )using the 1-sin^2(x)=cos^2(x) identity for the denominator.2. In,is a right angle. Find the remaining sides and angles. Round your answers to thenearest tenth. Show your work.a = 3, c = 19a 2+ b2= c2 according the Pythagoreantheoremb2= c2 a 2b= c 2 a 2b= 19 2 32= 352b= 18.8Using the fact that the cosine of an angle in a right triangle is the quotient of the adjacent side anthe hypotenuse, we get:cos( B)= 3 /19B= arccos(3/19)B= 80.91 degreescos( A)= 18.8/19A= arccos(18.8/19)A= 9 degrees3. Please show your work to find the mean and standard deviation of the data. Round to the nearesttenth.20, 16, 18, 14, 9, 20, 16mean = (20 + 16 + 18 +14 + 9 + 20 + 16)/7=16.1SD=SD=( X mean)2n1 (( 20 16.1)2+ (16 16.1)2+ (18 16.1)2+ (14 16.1)2+ (9 16.1)2+ (20 16.1) 2+ (16 16.1) 2)7SD= 12.74. What are the points of discontinuity? Are they all removable? Please show your work.y=( x 5)( x 5)( x 1)The discontinuities are at x=5 and x=1, since these would turn the denominator to 0, and theexpression will be undefined. The discontinuity at x = 5 is remov ...
To Order an Original Plagiarism Free Paper on the Same Topic Click Here
Other samples, services and questions:
When you use PaperHelp, you save one valuable — TIME
You can spend it for more important things than paper writing.
